How do we use the other definitions of transformations?

Glide Reflection - The composition of a reflection a line and a translation along that line.


Orientation - Orientation refers to the arrangement of points, relative to one another, after a transformation has occurred.


Isometry - An isometry is a transformation of the plane that preserves length


Direct Isometry- Preserves orientation or order of the letters on the diagram go in the same clockwise or counterclockwise direction on the figure and its image


Invariant - Figure or property that remains unchanged under a transformation of the plane is referred to as invariant no variation have occurred

ISOMETRY

Does this graphic illustrate a glide reflection?
              

 
Yes 
No

How do we sovle compostion of Transformation problems

Glide Reflection - composition of reflection in a line, then a translation.

Examine the graph at the left.  Is triangle A"B"C" a glide reflection of triangle ABC?

Yes
No

How do we identify composition of Transformation

  Composition of Transformation - When two or more transformations are combined to form a new transformation.                                       

WHEN USING COMPOSITION TRANSFORMATION

Which composition of transformations will map 
 ?

Choose: (dilation's centered at origin)

 

 

 

 

HOW DO WE GRAPH DILATIONS

Dilation - Type of transformation that causes an image to stretch or shrink in proportion to it's original size.

Scale factor- The ratio by which the image stretches or shrinks is known as the scale factor.
                   
                    If the scale factor is >1, then the image is enlarged.
                    If the scale factor is >0 and <1, then the image will shrink.
                 
Multiple the dimensions of the original image by the scale factor to get the dimensions of the dilated image.

What is the scale factor of the dilation (with center at the origin) shown at the left.  

Choose one: 
-2 
2 
1/2 -1/2

 

How do we identify transformations?

Translation- Every point is moved the same distance in the same direction.

Reflection- Figures is flipped ober a line of symmetry

Rotation-Fugure is turned around a single point

Dilation-An enlargement or reduction in size of an image